Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 691/66, 1409/765 quickly i.e. 973619/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 691/66, 1409/765 is 973619/3.
LCM(691/66, 1409/765) = 973619/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 691/66,1409/765
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 691,1409
Least Common Multiple of Numerators i.e. LCM of 691,1409 is 973619.
GCF of Denominators means GCF of 66,765 as per the given fractions.
GCF of 66,765 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 691,1409
Given numbers has no common factors except 1. So, there LCM is their product i.e 973619
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 691,1409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,1409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,1409) x common factors =1 x 1 = 1
LCM(691,1409) = ( 691 × 1409 ) / 1
LCM(691,1409) = 973619 / 1
LCM(691,1409) = 973619
Lets's calculate GCF of 66,765
3 | 66, 765 |
22, 255 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 973619/3
Therefore the LCM of Fractions 691/66,1409/765 is 973619/3
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 66,765 . The biggest common factor number is the GCF number.
So the greatest common factor 66,765 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 691/66, 1409/765?
Answer: LCM of Numerators as per given numbers 691/66, 1409/765 is
LCM of Numerators i.e. for 691,1409 is 973619
GCF of denominators i.e. for 66,765 is 3.
Thus, LCM of Fractions is 973619/3.Finally, LCM of Fractions for 691/66, 1409/765 is 973619/3.